Two new books of my endgame theory series are available as a printed edition or PDF file: Endgame 4 - Global Move Order and Endgame 5 - Mathematics.


Endgame 4 - Global Move Order - Description

This comprehensive book with 268 pages for players from 8 kyu to 9 pro explains the correct order of moves on the global scale during the early and late endgame. It does not just fill a gap in the literature but contains so many inventions that it doubles the theory of global endgame decisions. Most of the theory even represents absolute truth verified in Volume 5.

The book covers every basic type of local endgame with gote or sente follow-ups, gote and sente options, several or iterative follow-ups. The global environment is taken into account during the early and late endgame. The reader can learn his favourite method by comparing counts or net profits, or applying a principle. By comparing the right values, we decide whether to play locally or the most valuable move in the environment.


Endgame 5 - Mathematics - Description

This textbook with 240 pages for experts presents definitions, 149 theorems and their proofs to establish endgame evaluation as always correct truths. While Volumes 2 to 4 explain modern endgame theory for players, Volume 5 verifies the theory mathematically. The book also introduces the practically relevant parts of combinatorial game theory, thermography and scoring. The book studies local and global evaluation, all basic types of endgames, short and long sequences, either starting players, all temperatures, the early and late endgame, different methods of evaluation and their equivalence.


Links

Endgame 4 - Global Move Order

Webpage: http://home.snafu.de/jasiek/Endgame.html
Cover: http://home.snafu.de/jasiek/Endgame_4_Cover.png
Sample: http://home.snafu.de/jasiek/Endgame_4_Sample.pdf
Table of Contents: http://home.snafu.de/jasiek/Endgame_4_TOC.pdf
Review by the Author: http://home.snafu.de/jasiek/Endgame_4_Review.html
https://www.lifein19x19.com/viewtopic.php?f=57&t=18386

Endgame 5 - Mathematics

Webpage: http://home.snafu.de/jasiek/Endgame.html
Cover: http://home.snafu.de/jasiek/Endgame_5_Cover.png
Sample: http://home.snafu.de/jasiek/Endgame_5_Sample.pdf
Table of Contents: http://home.snafu.de/jasiek/Endgame_5_TOC.pdf
Review by the Author: http://home.snafu.de/jasiek/Endgame_5_Review.html
https://www.lifein19x19.com/viewtopic.php?f=57&t=18387

Wouahhh,great work. Still thinking aabout the volume 4. I am waiting the endgame problems 2 ^^

My current plan is to write a few other books in between but I have raw material for Endgame Problems 2 about standard shapes, such as corner kos or joseki follow-ups. A later volume of Endgame Problems should practise the theory of Endgame 4.

Great ^^ I will wait ^^

Citation reference: https://www.lifein19x19.com/viewtopic.p ... 75#p273675



It was mentioned in 1997 on rec.games.go that a Japanese journalist observed a relation between last move, 1/2 point game and winner. Then, I devised a first proof for the special case of 5.5 komi and some further simplifying assumptions. Later, I generalised a bit. However, the so far most general version appears in my book Endgame 5 - Mathematics.


"Definition 40 [standard area komi]

Standard area komi has the form K := 2z - 0.5 for some whole number z.

[...]

Presuppositions

Assume no handicap stones and single passes. Apply the territory score together with the conditions 'unequivocal', 'without two-sided dame and teire', 'without capturable stones in sekis', 'without asymmetric sekis'. Have no suicide, standard area komi, an odd parity of the number of intersections on the board, a final position with an even seki parity and the territory score 0.5.

Theorem 144 [last play indicates winner]

The winner under territory and area scoring is the player of the last play."

Note that 6.5 komi is non-standard area komi. See pp. 215 - 226 of Endgame 5 - Mathematics for explanations for the presuppositions and the mathematical proof of the theorem. The proof of theorem 144 is a one-liner but the proofs of some of its referenced, applied theorems each cover several pages. For informal descriptions, see the book Endgame 2 - Values, chapter 6.1.